Deformation equivalence classes of complex surfaces with the first Betti number one, and the second Betti number zero

2015/03/13 by Shota Murakami, Murakami, Shota
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1503.03968

Abstract

We will prove that the number of deformation equivalence classes of surfaces homotopy equivalent to a smooth, closed 4-manifold is finite, if the first Betti number is equal to one, and the second Betti number is equal to zero.

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